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首页> 外文期刊>Physica status solidi, B. Basic research >Destruction of vertical transitions and increase in the matrix elements of the electron-photon interaction in small crystals
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Destruction of vertical transitions and increase in the matrix elements of the electron-photon interaction in small crystals

机译:小晶体中垂直跃迁的破坏和电子-光子相互作用的基质元素的增加

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摘要

The matrix elements of electron-photon interaction were investigated in a one-dimensional model of a finite length crystal lattice. Its electronic stationary states belong both to quasi-discrete and to continuous energy band spectra. We analyze formation and degree of applicability for the law of "momentum" conservation and for the vertical transitions approximation as the lattice length increases. The values of matrix elements and their dependence on lattice length are different for the cases when the final state is lying under the vacuum level and when the final state is lying above this level. In the latter case, the resonant penetration of electrons in the lattice may increase the matrix elements by many orders of magnitude. The results are different in the middle and near the thresholds of the energy bands, for the cases of tight and weak binding of electrons in the lattice cell. The selection rules of the "momentum" conservation and the approximation of vertical transitions disappear at extremely weak binding. (C) 2016 WILEY-VCH Verlag GmbH & Co. KGaA, Weinheim
机译:在有限长度晶格的一维模型中研究了电子-光子相互作用的基质元素。它的电子稳态既属于准离散谱又属于连续能带谱。我们分析了“动量”守恒定律的形成和适用程度,以及随着晶格长度增加而进行的垂直过渡近似。当最终状态处于真空水平以下且最终状态处于真空水平以上时,矩阵元素的值及其对晶格长度的依赖性不同。在后一种情况下,电子在晶格中的共振渗透可以使矩阵元素增加许多数量级。对于晶格单元中电子紧密结合和弱结合的情况,结果在能带阈值的中部和附近是不同的。在极弱的结合下,“动量”守恒的选择规则和垂直过渡的近似消失。 (C)2016 WILEY-VCH Verlag GmbH&Co.KGaA,魏因海姆

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